104314413013213 has 8 divisors (see below), whose sum is σ = 112339510299128. Its totient is φ = 96289445965824.

The previous prime is 104314413013199. The next prime is 104314413013241. The reversal of 104314413013213 is 312310314413401.

It can be written as a sum of positive squares in 4 ways, for example, as 57721747935289 + 46592665077924 = 7597483^2 + 6825882^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-104314413013213 is a prime.

It is a super-2 number, since 2×104314413013213² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104314413013513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30892956 + ... + 34102837.

It is an arithmetic number, because the mean of its divisors is an integer number (14042438787391).

Almost surely, 2^{104314413013213} is an apocalyptic number.

104314413013213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104314413013213 is a deficient number, since it is larger than the sum of its proper divisors (8025097285915).

104314413013213 is a wasteful number, since it uses less digits than its factorization.

104314413013213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65119263.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 104314413013213 its reverse (312310314413401), we get a palindrome (416624727426614).

The spelling of 104314413013213 in words is "one hundred four trillion, three hundred fourteen billion, four hundred thirteen million, thirteen thousand, two hundred thirteen".